Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9

Answer:1/1

Step-by-step explanation:

Answer:

Step-by-step explanation:  0.03

9514 1404 393

Answer:

  (b)  x = -2

Step-by-step explanation:

The graph shows the lines intersect at (x, y) = (-2, 3).

The x-coordinate of the solution is x = -2.

50.62 square inches is the surface area of a cylinder

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Manzanita berries look like little apples. Manzanita juice is sold in cylindrical cans.

A typical can of manzanita juice has a height of 4.9 inches and diameter of 2.6 inches.

We need to find the surface area of the can.

Height of can = 4.9 inches

Diameter =2.6 inches

Radius=2.6/2=1.3

Surface area=2πг² + 2лrh.

=2πг(r+h)

=2×3.14×1.3×(1.3+4.9)

=8.164(6.2)

=50.62 square inches

Hence, 50.62 square inches is the surface area of a cylinder

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3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:

\({ \tt{f(x) = - 10x - 18}} \\ { \tt{g(x) = - 3x}} \\ \\ { \tt{(f - g)(x) = ( - 10x - 18) -( - 3x) }} \\ \\ { \tt{(f - g)(x) = ( - 10x + 3) - 18}} \\ \\ { \tt{(f - g)(x) = - 7x + (3 - 18)}} \\ \\ { \tt{(f - g)(x) = - 7x - 15}}\)

Answer:

The answer to part A is -2 1/2

The answer to part B is No. The students claim is not correct because 2 1/2 is greater than 5/4 ( 1   1/4).

Step-by-step explanation:

For Part A I just did the opposite of 2 1/2

Answer:

On Part A put Q at on -2 and move left 2 times

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = \( \frac{4}{3} \)

\( slope = \frac{y_2 - y_1}{x_2 - x_1} \)

\( slope = \frac{8 - 4}{-5 -(-8)} \)

\( slope = \frac{8 - 4}{-5 + 8} \)

\( slope = \frac{4}{3} \)

9. Line 3 = \( \frac{4}{3} \)

\( slope = \frac{y_2 - y_1}{x_2 - x_1} \)

\( slope = \frac{8 - 4}{-2 -(-5)} \)

\( slope = \frac{8 - 4}{-2 + 5} \)

\( slope = \frac{4}{3} \)

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = \( \frac{7}{3} \)

\( slope = \frac{y_2 - y_1}{x_2 - x_1} \)

\( slope = \frac{8 - 1}{5 - 2} \)

\( slope = \frac{7}{3} \)

12. Line 6 = \( -\frac{7}{3} \)

\( slope = \frac{y_2 - y_1}{x_2 - x_1} \)

\( slope = \frac{8 - 1}{5 - 8} \)

\( slope = \frac{7}{-3} \)

\( slope = -\frac{7}{3} \)

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

Slope = Change in Y / Change in X = dY ie Rise / dX ie Run

Line 1 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 2 : Change in Y (dY), ie Rise = (-) 4. Change in X (dX), ie Run = 3. The line is downward sloping. So, Slope = - 4/3

Line 3 : Change in Y (dY), ie Rise = 4. Change in X (dX), ie Run = 3. The line is upward sloping. So, Slope = 4/3

Line 4 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 5 : Change in Y (dY), ie Rise = 7. Change in X (dX), ie Run = 3. The line is upward sloping. So, Slope = 7/3

Line 6 : Change in Y (dY), ie Rise = (-) 7. Change in X (dX), ie Run = 3. The line is downward sloping. So, Slope = - 7/3

Line 7 : 0, as there is no change in value of Y & dY ie Rise = 0

Line 8 : 0, as there is no change in value of Y & dY ie Rise = 0

Line 9 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 10 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 11 : 0, as there is no change in value of Y & dY ie Rise = 0

Line 12 : Undefined, as there is no change in value of X & dX ie Run = 0

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Answer:

\(\sqrt[3]{9x^{4} }\)

Hope this helps!

Answer:

\(\qquad\quad {:}\leadsto\sf (3x^2){}^{\dfrac {2}{3}}\)

\(\qquad\quad {:}\leadsto\sf 3x {}^{\dfrac {2×2}{3}}\)

\(\qquad\quad {:}\leadsto\sf 3x {}^{\dfrac {4}{3}}\)

\(\qquad\quad {:}\leadsto\displaystyle\sf \sqrt [3]{3x^4}\)

Answer:

Mean = 58.18

Median = 60

Modes = 55 and 60

Step-by-step explanation:

To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).

The median is the middle number of a set.  In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.

The mode is/are the most frequent number(s) in the set.  In this set, the numbers that appear the most are 55 and 60.

Answer:

5pi/3x180grados/piradianes

900/3=300 grados

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) y = a(x - 4)(x - 2)

x = 0, y = 1, so 1 = a(-4)(-2) = 8a, a = 1/8

so y = (x - 4)(x - 2)/8

b) y = a(x - 4)(x + 2)

x = 0, y = 1, so 1 = a(-4)(2) = -8a, a = -1/8

so y = -(x - 4)(x + 2)/8

c) y = a(x - 5)(x + 3)

y = a(x² - 2x - 15) = a(x² - 2x + 1 - 16) = a[(x - 1)² - 16]

when x = 1, y has a minimum value -16a

so -16a = -10, a = 5/8

so y = 5(x - 5)(x + 3)/8

Answer:

3 2/25 = 3.08

Step-by-step explanation:

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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Divide total length by cut length:

9 / 2/3

= (9 x 3)/2 = 27/2 = 13.5

He can cut 13 pieces

Answer:

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1

point)

b) What is the vertex of the parabola? (1 point)

Step-by-step explanation:

Answer:

1. The actual height is the measured height.  Therefore the doctor's measurement should be considered the actual height as the doctor measured the height of Clare's brother.

2. The error is the difference between the estimated height and the measured height:

⇒ 4 ft 2 in - 4 ft = 2 inches

3. First convert 4 ft 2 in into inches.

Given 1 ft = 12 inches

Therefore, 4 ft 2 in = 4 x 12 + 2 = 50 inches

\(\mathsf{percentage\ error=\dfrac{difference\ between\ actual\ and\ estimated\ value}{actual\ value}\times100\%}\)

\(\implies \mathsf{percentage\ error=\dfrac{2}{50}\times100\%=4\%}\)

So the error expressed as a percentage was 4% of the actual height.

Answer:

a. 9m + 8×$20 = $340

b. 9×$10.50 + 8×$10.50 = $178.50

Step-by-step explanation:

Its self-explanatory

For the first function, the domain and the range are given as follows:

For the second function, the domain and the range are given as follows:

The domain of a function is the set that contains all the input values that can be assumed by the function, hence it is given by the set that contains all the values of x in the graph of the function.

The range of a function is the set that contains all the output values that can be assumed by the function, hence it is given by the set that contains all the values of y in the graph of the function.

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Answer:

Step-by-step explanation:

P = 2l+b)

P = 2(20 + 15)

P = 2(35)

P = 70 feet

Answer:

70 feet

Step-by-step explanation:

      length = 20 feet

        width = 15 feet

\(\sf \boxed{\text{Perimeter of rectangle = 2* ( length * width)}}\)

                             \(\sf = 2* (20 + 15)\\\\ = 2 * 35\\\\= 70 \ feet\)

Numbers greater than zero but less than one have squares that are smaller.

Consider the number one-half (1/2); half of a half is a quarter (1/4 < 1/2)!

Of course, the square of a negative number is greater (since a negative squared is positive).

Only the numbers zero and one are equal to their squares.

another explanation:

Yes .

In fact there is an infinite number of numbers that have that condition. For example (1/2)² = 1/4.

In fact any positive number ’n’ such that 0<n<1 is a number which has a smaller number when squared.

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

( 8, - 2 )

Step-by-step explanation:

Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer: g (x - 2/4) = 3x + 1/2

Step-by-step explanation:

Answer: WX, ZY and WX and AB.

The 2nd one is correct.

The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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